Cohomologie Locale Des Faisceaux Coherents (Sga 2): Seminaire De Geometrie Algebrique Du Bois Marie 1962 (Documents Mathematiques)
《Cohomologie Locale Des Faisceaux Coherents (Sga 2): Seminaire De Geometrie Algebrique Du Bois Marie 1962 (Documents Mathematiques)》 · 第 228 页 · Chapter 11,Section 11.4「Finite Representation Type」
We say that a ring $A$ has finite representation type if and only if there are only finitely many isomorphism classes of indecomposable $A$-modules; otherwise, we say that $A$ has infinite representation type. We have seen in Theorem 6.1.2 that if $G$ is a cyclic $p$-group and $k$ is a field of characteristic $p$, then $kG$ has finite representation type.